2540102100213 has 32 divisors (see below), whose sum is σ = 3500067884544. Its totient is φ = 1637710244352.

The previous prime is 2540102100209. The next prime is 2540102100229. The reversal of 2540102100213 is 3120012010452.

It is not a de Polignac number, because 2540102100213 - 2² = 2540102100209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2540102100213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540102100413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19586020 + ... + 19715282.

It is an arithmetic number, because the mean of its divisors is an integer number (109377121392).

Almost surely, 2^{2540102100213} is an apocalyptic number.

It is an amenable number.

2540102100213 is a deficient number, since it is larger than the sum of its proper divisors (959965784331).

2540102100213 is a wasteful number, since it uses less digits than its factorization.

2540102100213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131085.

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 2540102100213 its reverse (3120012010452), we get a palindrome (5660114110665).

The spelling of 2540102100213 in words is "two trillion, five hundred forty billion, one hundred two million, one hundred thousand, two hundred thirteen".